If straight lines ax+by +p = 0 and xcosa + y sina -p=0 include an angle n/4 between them and meet the straight line xsina - ycosa = 0 in the same point, then the value of a +b² is equal to

Q: Find the equation of the line passing through the point 4(2,3) and making en angle of 45° with the…

A: The equation of a line passing through A and making an angle of 45\degree with the x-axis isx-2cos…

Q: Direction: differentiate the following: 5x 4. tan 5. у -sin(6x'-1)

A: 4. Let y=tan5x4 ⇒dydx=ddxtan5x4⇒dydx=sec25x4×ddx5x4⇒dydx=sec25x4×54dxdx⇒dydx=54sec25x4

Q: 5. At point A(-1,-1), draw two tangents to P:y²-x+4y+6=0. Find the acute angle formed by these…

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Q: f sin' s /cosada =? O a. 2 cos a cos: coss + C O b. + C Oc. 2) +c 1/2 은 + C O d. cosa - 3 Oe. O e.…

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Q: If the product of the intercepts made by the straight line (osa xtana+yseca =1 0 sa < on the…

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Q: Find the angle between the lines whose direction cosines are given by 1+m+n=0 and 2/²+2m²-n² = 0.

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Q: lHans, , Chenl exprcss 240° <0and sec -400°

A: A). 240°    Reference angle = 240°-180° =160°   B). -400°   Reference angle  = -400°+360° = -40°

Q: With respect to the attached figure, line PARALLEL to the line N and passing through the origin, has…

A: We have to find the equation of the line which is parallel to line N and passing through…

Q: Find the reference angle 'of 0 = −635°. Then, sketch in standard position and label 0'.

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Q: calculator! 5. Graph the equation. Don't use a Plot at least 4 points T= 1+2 Sin ( 12

A: Note that: in polar form there are various type of representations. For example (0,1) in Cartesian…

Q: A ray of light is sent along the line 2x-3y=5. After refracting across the line x+y=1 it enters the…

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Q: [a] Find the shortest distance from the point (2, -1, 4) to the straight line x = 2, y = 3+tand z =…

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Q: Find the angle between two lines whose direction cosines are given by l + m + n = 0 and 1² + m² - n²…

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Q: Find the acute angle between 3x – 2y + 7 = 0 and 2y + 4x – 3 = 0 (to nearest degree).

A: Given, 3x-2y+7=0      .....12y+4x-3=0      .....2

Q: Find the cirve y=(3x+1X2X²2×-3) a) find dy dx b) Find the equation of the tangent line at point x =|…

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Q: Find the slope of the line tangent to y = 3x(cos x) at (7/2, 7/2). A) -3/2 B) 3x/2 C) /2 D) -x/2

A: Consider the function  y=3x(cosx) Point : π2,π2

Q: The slope of the straight line that pass between two points has slope-- O cote O tane sine O cose

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